142324435950480 has 1440 divisors, whose sum is σ = 577166861456640. Its totient is φ = 31314163507200.

The previous prime is 142324435950467. The next prime is 142324435950509. The reversal of 142324435950480 is 84059534423241.

142324435950480 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 4 + 4 + 3 + 59 + 504 + 80 = 666.

It is a super-2 number, since 2×142324435950480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49920881055 + ... + 49920883905.

It is an arithmetic number, because the mean of its divisors is an integer number (400810320456).

Almost surely, 2^{142324435950480} is an apocalyptic number.

142324435950480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142324435950480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288583430728320).

142324435950480 is an abundant number, since it is smaller than the sum of its proper divisors (434842425506160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142324435950480 is a wasteful number, since it uses less digits than its factorization.

142324435950480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 142324435950480 in words is "one hundred forty-two trillion, three hundred twenty-four billion, four hundred thirty-five million, nine hundred fifty thousand, four hundred eighty".